94533082828800 has 2496 divisors, whose sum is σ = 405611081515008. Its totient is φ = 18850775040000.

The previous prime is 94533082828747. The next prime is 94533082828819. The reversal of 94533082828800 is 882828033549.

It is a happy number.

It is a super-2 number, since 2×94533082828800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100460236330 + ... + 100460237270.

Almost surely, 2^{94533082828800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94533082828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202805540757504).

94533082828800 is an abundant number, since it is smaller than the sum of its proper divisors (311077998686208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

94533082828800 is a wasteful number, since it uses less digits than its factorization.

94533082828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 94533082828800 in words is "ninety-four trillion, five hundred thirty-three billion, eighty-two million, eight hundred twenty-eight thousand, eight hundred".